Furino, S., Difference families from rings, Discrete Mathematics 97 (1991) 177-190. Some difference family constructions originating with Bose, Hanani and Wilson that require finite fields are modified to work in rings with unity. These ring constructions are then used to derive new classes of abelian and cyclic difference families with blocks size 4. These constructions are also used to provid...

Partitioned difference families (PDFs) arise from constructions of optimum constant composition codes. In this paper, a number of infinite classes of PDFs are constructed, based on known cyclotomic difference families in GF(q). A general approach which obtains PDFs from difference packings and coverings in abelian group is also presented. c © 2007 Elsevier Ltd. All rights reserved.

In this paper, six constructions of difference families are presented. These constructions make use of difference sets, almost difference sets and disjoint difference families, and give new point of views of relationships among these combinatorial objects. Most of the constructions work for all finite groups. Though these constructions look simple, they produce many difference families with new...